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Worksheet: Set of Natural Numbers

In this worksheet, we will practice checking if a number, or a set of numbers, belongs to, is included in, or is not included in the set of natural numbers.

Q1:

Decide whether the answer to the following question belongs to ℕ : How many pages are there in a book?

  • Abelongs to ℕ
  • Bdoes not belong to ℕ

Q2:

Is ( 1 4 − 5 ) ∈ or ∉ ℕ ?

  • A ∈
  • B ∉

Q3:

Is ( 4 . 7 × 2 4 . 3 ) ∈ ∉ ℕ o r ?

  • A ∉
  • B ∈

Q4:

Is { 7 , 9 . 6 6 , 1 0 } ⊂ , ⊄ , ∈ or ∉ ℕ ?

  • A ⊄
  • B ⊂

Q5:

Is { 1 2 , 9 , 1 1 } ⊂ , ⊄ , ∈ or ∉ ℕ ?

  • A ⊂
  • B ⊄

Q6:

Is { 0 } ⊂ , ⊄ , ∈ or ∉ ℕ ?

  • A ⊂
  • B ⊄

Q7:

Is { 8 . 1 5 } ⊂ , ⊄ , ∈ or ∉ ℕ ?

  • A ⊄
  • B ⊂

Q8:

Is ∅ ⊂ , ⊄ , ∈ or ∉ ℕ ?

  • A ⊂
  • B ⊄

Q9:

Is 1 0 5 ⊂ , ⊄ , ∈ or ∉ ℕ ?

  • A ⊂
  • B ⊄

Q10:

Is 3 9 2 ∈ or ∉ ℕ ?

  • A ∉
  • B ∈

Q11:

Decide whether the answer to the following question belongs to ℕ : How many cities are there in your country?

  • Abelongs to ℕ
  • Bdoes not belong to ℕ

Q12:

Decide whether the answer to the following question belongs to ℕ : How many people are there in your family?

  • Abelongs to ℕ
  • Bdoes not belong to ℕ

Q13:

Decide whether the answer to the following question belongs to ℕ : What is your father’s height in meters?

  • Adoes not belong to ℕ
  • Bbelongs to ℕ

Q14:

Find the set of numbers that belong in ℕ ∩ { 6 , 5 , 1 } .

  • A ∅
  • B ℕ
  • C { 1 , 5 }
  • D { 1 , 5 , 6 }
  • E { 6 }

Q15:

Which of the following is true?

  • A − 3 9 ∉ ℕ
  • B − 3 9 ∈ ℕ

Q16:

Which of the following is true?

  • A ℕ ⊂ { − 8 }
  • B { − 8 } ⊂ ℕ
  • C { − 8 } ⊄ ℕ

Q17:

Is 1 8 0 4 5 ∈ or ∉ ℕ ?

  • A ∈
  • B ∉

Q18:

Is 9 ∈ or ∉ ℕ ?

  • A ∈
  • B ∉

Q19:

Is 5 . 5 6 ∈ or ∉ ℕ ?

  • A ∉
  • B ∈

Q20:

Is 6 2 ∈ or ∉ ℕ ?

  • A ∈
  • B ∉

Q21:

Is 3 7 ∈ or ∉ ℕ ?

  • A ∉
  • B ∈

Q22:

Is 1 2 3 ∈ or ∉ ℕ ?

  • A ∈
  • B ∉

Q23:

State the elements in 𝑀 given 𝑀 = { 𝑎 ∶ 𝑎 ∈ ℕ , 𝑎 ≤ 6 } .

  • A 𝑀 = { 6 , 7 , 8 , … }
  • B 𝑀 = { 0 , 1 , 2 , 3 , 4 , 5 }
  • C 𝑀 = { 1 , 3 , 5 }
  • D 𝑀 = { 0 , 1 , 2 , 3 , 4 , 5 , 6 }

Q24:

Find the set of natural numbers that are greater than or equal to 10.

  • A { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 1 0 }
  • B { 1 1 , 1 2 , 1 3 , … }
  • C { 1 0 , 1 1 , 1 2 }
  • D { 1 0 , 1 1 , 1 2 , … }
  • E { 1 1 , 1 3 , 1 5 , … }

Q25:

The set of natural numbers is .

  • A infinite
  • B finite

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